- Noor, is a footballer from Saudi Arabia. He currently plays for Saudi Professional League side Al Ittihad. Noor is considered to be one of the best players ever to play in the Asian Champions League. What does this have to do with Applied Calculus? Were going to look at the instantaneous rate of change using his goals per season. Also, Noor had a very well-known rough path in his career in 2011-2012; so were going to use the IRC to determine his performance throughout the years.
| Season | Goals |
| 1990-1991 | 20 |
| 1992-1993 | 33 |
| 1994-1995 | 27 |
| 1996-1997 | 34 |
| 1998-1999 | 31 |
Average Rate of Change:
(3, 33) to (4, 20) = 3-4/ 33-20 = -1/13
(2, 27) to (4, 33) = 4-2/ 33-27 = 2/6
(1, 31) to 2,34) = 2-1/ 34-31= 1/3
The calculations were done by using the slope of the line. If you pay attention you see that Mohammed Noor has had a rough path in his career because one of the slopes are negative. this shows that his performance was affected in that year and we found that out using the IRC and slope.
Instantaneous Rate of Change:
We use the IRC to get closer and closer to a relationship we want to analyze. In this case mohammed noor's performance as a soccer player. It is done also by taking the slope of the points we want to analyze.
IRC Calculations:
(2, 33) to (3,27)
We take the slope so: 3-2/ 33-27 = 6
(1, 20) to (2,33)
We take the slope so: 2-1/ 33-20 = 8
We take the IRC by analyzing the two slope points we just calculated. Therefore we have
(6=8) / 2 = 7
The number 7 shows the IRC for Mohammed Noor during his second year as a player in Al Itihad. This shows that he has been improving from his first season to the next but taking into consideration that we had a negative slope of in one of the points we must but regardless of that he has had improvement. Therefore even though Noor did well in his second season and the ones that follow his increase in amount of goals may not seem so impressive when applying the IRC to be more specific
Hi Mohammed, I liked how you used you as a character for this blog assignment. It made it fun to read. I don't know if the graph uploaded correctly because i can not find it. I wish it was present though because i would have loved to see a visual representation of your data.
ReplyDeletehey, mohammed,
ReplyDeletei like the topic that you chose for your blog post! i am a soccer fan, as well, although, i have not heard of this player before. it is unfortunate that your graphs did not display as it would have added more to the interpretation of your data. i am assuming that the second part shows your calculations for the tangent line that you drew on your graph at year 2.
i was a little confused by your calculations on the first part as the secant calculations should have all originated from one point, whereas you have calculated secant lines from different points.
all in all though, a good first blog post.
professor little
hold on is this muneera's post? muneera, if this is you, next time please include your first name in the post, as we all got you confused with mohammed.
ReplyDeleteprofessor little